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  1. M

    Roller Coaster total distance

    Homework Statement A roller coaster ride lasts only 60 seconds. What is the total distance traveled during the 60 seconds, given the position of the roller as a function of time is s(t) = 4cos(t)sin(t). Homework Equations Position as a function of time S(t) = 4cos(t)sin(t) The...
  2. M

    LC Circuit with DC power supply

    A circuit has a battery(V), Capacitor(C) and Inductor(L) connected in series. At t < 0, the switch is open and the capacitor has an initial charge of -800uC and Io = 0.0Amps.. When the switch is closed at t = 0, I want to know what happens here. I only understand an LC circuit where there is...
  3. M

    RL Circuit

    I am trying to analyse an RL circuit, particulartly the dependence of current in 2 resistors with time, in an RL circuit. This is what I think but I would really love some people to tell me if I am getting it wrong or if there is anything they want to add to it. ***Just after the the switched...
  4. M

    Linearly dependent sets

    If A is a 3x3 Matrix and {v1, v2, v3} is a linearly dependent set of vectors in R^3, then {Av1, Av2, Av3} is also a linearly dependent set??? Is this true? Can someone please explain why or why not?? What I think: I think it is true because I read that a linear transformation preserves the...
  5. M

    Conservation of linear or angular momentum + center of mass.

    So I have been reading about conservation of linear momentum and conservation of angular momentum of a rotating object. For example a thin rod resting horizontally on the a flat surface. If this rod is being hit by a small object(collision), the rod will rotate about it's center of mass and will...
  6. M

    Work energy theorem vs Newton's 2nd law and kinematics

    So i have this general question. When the situation arises in which there are velocity and/or position depended forces acting on an object, would it be generally easier to use the work energy theorem or Newton's 2nd law & kinematics in predicting the motion? My guts tell me it will be work...
  7. M

    Static & kinetic friction could cause motion?

    Static & kinetic friction could cause motion?? Homework Statement I have a question about friction. I was asked to discuss an example where static friction and kinetic friction could cause motion. One example for each. I have never learnt friction causing motion and I thought of it but...
  8. M

    Maximum photocurrent ejected by electrons in photoelectric effect

    Does anyone know how to determine the maximum photocurrent that could be produced by ejected electrons in a photoelectric effect experiment_(as unpolarized beam of light incidents on a metal surface)? I don't know of any formula that calculates the photocurrent and I could not derive any. I...
  9. M

    Time and amplitude in a standing wave.

    1. A string vibrates in its 3rd harmonic standing wave pattern. The mass and length of the string are given. Also given is the tension in the string and the transverse velocity of the string at the antinode located at x = Length/2 when the standing wave has no displacement at t = 0.00s M =...
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